{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import gym, sys\n",
    "\n",
    "%matplotlib inline\n",
    "sys.path.append('../..')\n",
    "sys.path.append('..')\n",
    "\n",
    "import algorithms, visualize, utils"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cliff Walking"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = gym.make('CliffWalking-v0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "Q, sum_rewards = algorithms.qlearning(env, alpha=.5, epsilon=0.1, num_episodes=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fWmeLfLsFuIppkofvd+MlYq1tD+TkyzXKLwkKBskW4Aor5VjtByIHUGgt+Qir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\npBFjASdJkjRi/j/t+CRh2SLx7AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113357c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize.rewards(sum_rewards)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run Environment Interactively"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Current State: 47\n",
      "o  o  o  o  o  o  o  o  o  o  o  o\n",
      "o  o  o  o  o  o  o  o  o  o  o  o\n",
      "o  o  o  o  o  o  o  o  o  o  o  o\n",
      "o  C  C  C  C  C  C  C  C  C  C  x\n",
      "\n",
      "Finished\n"
     ]
    }
   ],
   "source": [
    "utils.run_environment_greedy(env, Q)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
